Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory
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DOI: 10.1007/s11012-021-01364-w
Abstract: In this paper, the Riesz-Caputo fractional derivative of variable order with fixed memory is considered. The studied non-integer differential operator is approximated by means of modified basic rules of numerical integration. The three proposed methods… read more here.
Keywords: derivative variable; riesz caputo; variable order; caputo fractional ... See more keywords
Existence results for nonlinear neutral generalized Caputo fractional differential equations
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DOI: 10.1007/s11868-021-00400-3
Abstract: This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo fractional differential equation with generalized Riemann–Liouville integral boundary conditions. We… read more here.
Keywords: fractional differential; generalized caputo; caputo fractional; nonlinear neutral ... See more keywords
Numerical method for a non-local boundary value problem with Caputo fractional order
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DOI: 10.1007/s12190-021-01501-4
Abstract: A non-local boundary value problem with Caputo fractional derivative of order $$1 read more here.
Keywords: numerical method; local boundary; boundary value; caputo fractional ... See more keywords
Mittag–Leffler Stability for Impulsive Caputo Fractional Differential Equations
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DOI: 10.1007/s12591-017-0384-4
Abstract: The stability properties of Caputo fractional differential equations with impulses are studied. Both types of impulses, non-instantaneous impulses as well as instantaneous impulses are considered. The two approaches in the literature for the interpretation ofsolutions… read more here.
Keywords: impulsive caputo; mittag leffler; fractional differential; caputo fractional ... See more keywords
An epidemiological MSEIR model described by the Caputo fractional derivative
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DOI: 10.1007/s40435-018-0492-1
Abstract: A fractional MSEIR model is presented, involving the Caputo fractional derivative. The equilibrium points and the basic reproduction number are computed. An analysis of the local asymptotic stability at the disease free equilibrium is given.… read more here.
Keywords: fractional derivative; mseir model; caputo fractional; epidemiological mseir ... See more keywords
Approximate Solution and Analysis of Smoking Epidemic Model with Caputo Fractional Derivatives
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DOI: 10.1007/s40819-018-0543-5
Abstract: In this paper, an epidemic model is presented to describe the dynamics of drugs usage among the adults. The Caputo fractional derivative operator of order $$\phi \in (0, 1]$$ϕ∈(0,1] is employed to obtain the system… read more here.
Keywords: approximate solution; solution analysis; epidemic model; model ... See more keywords
High-order central difference scheme for Caputo fractional derivative
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DOI: 10.1016/j.cma.2016.12.008
Abstract: Abstract In this paper we propose a class of central difference schemes for resolving the Caputo fractional derivative. The accuracy may reach any selected integer order. More precisely, the Caputo fractional derivative operator is decomposed… read more here.
Keywords: order; fractional derivative; scheme; central difference ... See more keywords
Mathematical modeling of radiotherapy cancer treatment using Caputo fractional derivative
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DOI: 10.1016/j.cmpb.2019.105306
Abstract: BACKGROUND This paper presents a mathematical model that simulates a radiotherapy cancer treatment process. The model takes into consideration two important radiobiological factors, which are repair and repopulation of cells. The model was used to… read more here.
Keywords: treatment; fractional derivative; model; caputo fractional ... See more keywords
On-line estimation of the Caputo fractional derivatives with application to PIµDν control
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DOI: 10.1016/j.ifacol.2020.12.2552
Abstract: This paper proposes new procedures for calculation of the Caputo derivative of model-free measured signals. The evaluation of the non-integer derivative is realized by integrating a set of ordinary differential equations and convolution. The derivative… read more here.
Keywords: estimation caputo; fractional derivatives; derivatives application; line estimation ... See more keywords
Analytical and numerical solutions of the telegraph equation using the Atangana–Caputo fractional order derivative
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DOI: 10.1080/09205071.2017.1403963
Abstract: Abstract This paper describes the telegraph equation using the Atangana–Caputo’s fractional derivative with two fractional orders and . The new definition is based on the concept of the power law and the generalized Mittag-Leffler function.… read more here.
Keywords: equation using; telegraph equation; caputo fractional; atangana caputo ... See more keywords
On an extension of the Mikusiński type operational calculus for the Caputo fractional derivative
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DOI: 10.1080/10652469.2020.1833194
Abstract: In this paper, a two-parameter extension of the operational calculus of Mikusiński's type for the Caputo fractional derivative is presented. The first parameter is connected with the rings of functions that are used as a… read more here.
Keywords: mikusi ski; fractional derivative; operational calculus; caputo fractional ... See more keywords